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Finding the Fourth Proportional to 153,893.12, 212,372.16 and 86,824.64

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Solution

The fourth proportional to 153,893.12, 212,372.16 and 86,824.64 is: 119,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,893.12 : 212,372.16 = 86,824.64 : x
  2. Step 2: Convert to fraction form
    153,893.12/212,372.16 = 86,824.64/x
  3. Step 3: Cross multiply
    153,893.12x = 212,372.16 × 86,824.64
  4. Step 4: Simplify right side
    153,893.12x = 18,439,136,338.02
  5. Step 5: Solve for x
    x = 18,439,136,338.02/153,893.12
  6. Step 6: Final answer
    x = 119,817.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.